NCERT Solutions Class 11 Maths Chapter 1 Sets Exercise 1.3 Solutions 

CBSE CLASS XII Related Questions

  • 1.

    The domain of \[ f(x)=\cos^{-1}(2x-5) \] is: 

      • \([-1, 1]\)
      • \([4, 6]\)
      • \([-7, -3]\)
      • \([2, 3]\)

    • 2.

      Find the domain of \[ q(x)=\cos^{-1}(4x^2-3). \] Hence, find the value of \(x\) for which \[ q(x)=0. \] Also, write the range of \[ 3q(x)-\pi. \] 


        • 3.
          Evaluate: \[ \cos\left[\sin^{-1}(-1)-\tan^{-1}(-\sqrt{3})\right]. \]


            • 4.
              In a school, the probability of holding a debate competition is \( \frac{1}{3} \) and that of a quiz competition is \( \frac{2}{3} \). In the two participating teams, A has 4 girls and 6 boys and B has 7 girls and 3 boys. If a debate competition is held, the students are selected from team A and for the quiz competition they are selected from team B. If only two students are to be chosen from the teams, then find the probability that one will be a girl and the other a boy.


                • 5.
                  If \[ \frac{d}{dx}(F(x))=\frac{1}{e^x+1}, \] then find \(F(x)\), given that \[ F(0)=\log\left(\frac{1}{2}\right). \]


                    • 6.
                      For a square matrix \(A\), \[ (3A)^{-1}= \]

                        • \( 3A^{-1} \)
                        • \( 9A^{-1} \)
                        • \( \frac{1}{3} A^{-1} \)
                        • \( \frac{1}{9} A^{-1} \)
                      CBSE CLASS XII Previous Year Papers

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